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Simplifying -3(3p + 5) + -2(3 + -11p) = 3(5 + 4p) Reorder the terms: -3(5 + 3p) + -2(3 + -11p) = 3(5 + 4p) (5 * -3 + 3p * -3) + -2(3 + -11p) = 3(5 + 4p) (-15 + -9p) + -2(3 + -11p) = 3(5 + 4p) -15 + -9p + (3 * -2 + -11p * -2) = 3(5 + 4p) -15 + -9p + (-6 + 22p) = 3(5 + 4p) Reorder the terms: -15 + -6 + -9p + 22p = 3(5 + 4p) Combine like terms: -15 + -6 = -21 -21 + -9p + 22p = 3(5 + 4p) Combine like terms: -9p + 22p = 13p -21 + 13p = 3(5 + 4p) -21 + 13p = (5 * 3 + 4p * 3) -21 + 13p = (15 + 12p) Solving -21 + 13p = 15 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -21 + 13p + -12p = 15 + 12p + -12p Combine like terms: 13p + -12p = 1p -21 + 1p = 15 + 12p + -12p Combine like terms: 12p + -12p = 0 -21 + 1p = 15 + 0 -21 + 1p = 15 Add '21' to each side of the equation. -21 + 21 + 1p = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 1p = 15 + 21 1p = 15 + 21 Combine like terms: 15 + 21 = 36 1p = 36 Divide each side by '1'. p = 36 Simplifying p = 36
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